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arXiv · 2505.07217

Computation of Vector-Valued Invariants for a Finite Complex Reflection Group

A. K. M. Selim Reza·Manabu Oura·Masashi Kosuda·Shoyu Nagaoka
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Abstract

We consider the complex reflection group \( \mathcal{G} \), identified as No. 8 in the Shephard-Todd classification. In this paper, we present computations of the vector-valued invariants associated with various representations of \( \mathcal{G} \). Additionally, we investigate the structure of the corresponding invariant rings.

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A. K. M. Selim Reza, Manabu Oura, Masashi Kosuda, Shoyu Nagaoka. 2025-05-12. Computation of Vector-Valued Invariants for a Finite Complex Reflection Group. https://arxiv.org/abs/2505.07217

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